What is the general solution for tan(θ)=sqrt(1/3) ?

The general solution for tan(θ)=sqrt(1/3) is θ=0.52359…+pin

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tan(θ)=sqrt(1/3)

tan (θ) = \frac{1}{3}

θ = 0.52359 \dots + πn

Degrees

θ = 3 0^{\circ} + 18 0^{\circ} n

Solution steps

tan (θ) = \frac{1}{3}

Apply trig inverse properties

tan (θ) = \frac{1}{3}

General solutions for

tan (θ) = \frac{1}{3}

tan (x) = a \Rightarrow x = arctan (a) + πn

θ = arctan (\frac{1}{3}) + πn

θ = arctan (\frac{1}{3}) + πn

Show solutions in decimal form

θ = 0.52359 \dots + πn

sin (θ) = \frac{20}{29}

2 cos (\frac{1}{2} x) - 3 = 0

4 cos (θ) = 2

20 cos^{6} (x) - 57 cos^{4} (x) + 27 cos^{2} (x) = 0

2 sin^{2} (w) - 3 sin (w) + 1 = 0

What is the general solution for tan(θ)=sqrt(1/3) ?
The general solution for tan(θ)=sqrt(1/3) is θ=0.52359…+pin